Calculation of the Capacitances of Conductors -- Perspectives for the Optimization of Electronic Devices

TL;DR

This paper derives an equation for capacitor capacitance, explores material optimization for quantum regimes, and proposes negative capacitance dielectrics to improve electronic device performance.

Contribution

It introduces a new equation for capacitor capacitance and suggests material and dielectric innovations for device optimization.

Findings

Optimizing electrode materials can significantly alter capacitance.

Negative capacitance dielectrics are feasible and impactful.

Potential for enhanced electronic device performance.

Abstract

The equation describing the capacitance of capacitors is determined. It is shown that by optimizing the material of the conducting electrodes, the capacitance of capacitors reaching the quantum regime can be substantially enhanced or reduced. Dielectric capacitors with negative total capacitances are suggested and their properties analyzed. Resulting perspectives to enhance the performance of electronic devices are discussed.